What is the integral of 6.5sqrt(x) ?

The integral of 6.5sqrt(x) is 4.33333…x^{3/2}+C

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integral of 6.5sqrt(x)

\int 6.5 x d x

4.33333 \dots x^{\frac{3}{2}} + C

Solution steps

\int 6.5 x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 6.5 \cdot \int x d x

Apply the Power Rule

: \frac{2}{3} x^{\frac{3}{2}}

= 6.5 \cdot \frac{2}{3} x^{\frac{3}{2}}

Simplify

6.5 \cdot \frac{2}{3} x^{\frac{3}{2}} : 4.33333 \dots x^{\frac{3}{2}}

= 4.33333 \dots x^{\frac{3}{2}}

Add a constant to the solution

= 4.33333 \dots x^{\frac{3}{2}} + C

\frac{( 10 s + 3 )}{s ^{2} + 4 s + 29}

x \to 0 + lim (x^{- 5})

\frac{\partial}{\partial x} (8 x)

\int 4 π x^{2} d x

y = 8 x e^{x}, (0, 0)

What is the integral of 6.5sqrt(x) ?
The integral of 6.5sqrt(x) is 4.33333…x^{3/2}+C